# Spaces of positive intermediate curvature metrics

@article{Frenck2021SpacesOP,
title={Spaces of positive intermediate curvature metrics},
author={Georg Frenck and Jan-Bernhard Kordass},
journal={Geometriae Dedicata},
year={2021}
}
• Published 23 November 2020
• Mathematics
• Geometriae Dedicata
In this paper we study spaces of Riemannian metrics with lower bounds on intermediate curvatures. We show that the spaces of metrics of positive p-curvature and k-positive Ricci curvature on a given high-dimensional $$\mathrm {Spin}$$ Spin -manifold have many non-trivial homotopy groups provided that the manifold admits such a metric.
Positive (p,n)-intermediate scalar curvature and cobordism
• Mathematics
Journal of Geometry and Physics
• 2022

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